Acoin (h: heads; t: tails) is flipped and a number cube (1, 2, 3, 4, 5, 6) is rolled. what is the sample space for this experiment?
is it
;
h1, h2, h3, h4, h5, h6

h, t, 1, 2, 3, 4, 5, 6

h1, h2, h3, h4, h5, h6, t1, t2, t3, t4, t5, t6

or

t1, t2, t3, t4, t5, t6

(and provide explanation)

Third option is correct.

Step-by-step explanation:

Since we have given that

There is a coin and a number cube.

Outcomes of coin are Head and Tail.

Number of outcomes = 2

Outcomes of number cube are {1,2,3,4,5,6}

Number of outcomes = 6

Total number of outcomes = 2 × 6=12

So, Sample space would be

{H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}

Hence, Third option is correct.